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Finding the Fourth Proportional to 36,842.80, 50,842.74 and 20,075.80

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Solution

The fourth proportional to 36,842.80, 50,842.74 and 20,075.80 is: 27,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842.80 : 50,842.74 = 20,075.80 : x
  2. Step 2: Convert to fraction form
    36,842.80/50,842.74 = 20,075.80/x
  3. Step 3: Cross multiply
    36,842.80x = 50,842.74 × 20,075.80
  4. Step 4: Simplify right side
    36,842.80x = 1,020,708,679.69
  5. Step 5: Solve for x
    x = 1,020,708,679.69/36,842.80
  6. Step 6: Final answer
    x = 27,704.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.